Question

Resultant of two forces which have equal magnitudes and which act at right angles to each other is 1414 dyne. Calculate the magnitude of each forces.

Answer 1

Let the magnitude of the forces be F.

So, the resultant according to the question is,

R = (F² + F²)^1/2

=> R² = 2F²

=> F = (R²/2)^1/2

=> F = (½)^1/2 R = 1414/1.414 = 1000 dyne